Chris Pine nearly took an unplanned dip during a bash for his new movie “People Like Us” at the Hotel Americano. The blue-eyed “Star Trek” hunk had so many women swooning during an after-party, he was forced back to the edge of the hotel’s pool, as its perimeter crowded with ladies trying to get in a word. “They almost pushed him in,” said a spy. “It was kind of scary.” Pine’s Sports Illustrated swimsuit-model girlfriend Dominique Piek was not at the event, but Pine ignored the attention from the opposite sex and spent most of the night chain-smoking with some male pals. “He was a good boy; she has no worries,” our source said. His co-star, Allure cover girl Elizabeth Banks, was so engrossed in a conversation with friends, she barely noticed when one tipsy guest at the Cinema Society and Grey Goose event tripped on a beanbag chair and tumbled at her feet. (At least she avoided the pool, too.) Kenneth Branagh, Zachary Quinto, Gina Gershon and Linda Wells were also spotted staying dry.